Preheat your oven to 350°F (175°C). Grease and flour a 9x13 inch baking pan.
In a large bowl, whisk together the flour, sugar, baking powder, and salt.
In a separate bowl, whisk together the eggs, milk, vegetable oil, lemon juice, and lemon zest.
Pour the wet ingredients into the dry ingredients and mix until just combined. Do not overmix.
Pour the batter into the prepared baking pan and spread evenly.
Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
While the cake is baking, prepare the glaze. In a small bowl, whisk together the powdered sugar and lemon juice until smooth and pourable. Adjust consistency with more powdered sugar or lemon juice as needed.
Once the cake is out of the oven, let it cool in the pan for about 10 minutes before inverting it onto a wire rack.
While the cake is still warm, pour the glaze over the top, letting it drip down the sides.
Let the cake cool completely before slicing and serving.
Notes
This lemon cake is best served at room temperature. It can be stored in an airtight container for up to 3 days.